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Finding the Fourth Proportional to 752.10, 1,125.86 and 507.89

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Solution

The fourth proportional to 752.10, 1,125.86 and 507.89 is: 760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.10 : 1,125.86 = 507.89 : x
  2. Step 2: Convert to fraction form
    752.10/1,125.86 = 507.89/x
  3. Step 3: Cross multiply
    752.10x = 1,125.86 × 507.89
  4. Step 4: Simplify right side
    752.10x = 571,804.87
  5. Step 5: Solve for x
    x = 571,804.87/752.10
  6. Step 6: Final answer
    x = 760.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.